HL SEC 2017 Solutions
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Paper 1

Section A (Concepts and Skills)

1. Completing the square of a function
   Topics: Algebra, Functions

2. De Moivre's theorem
   Topics: Complex Numbers

3. Differentiating from first principles and log differentiation
   Topics: Differentiation

4. Geometric/exponential sequences and sum to infinity
   Topics: Sequences and series

5. Cubic function
   Topics: Algebra, Differntiation, Functions

6. Exponential functions
   Topics: Functions, Integration

Section B (Contexts and Applications)

7. Populations of cities [55 marks]
   Topics: Functions, Differentiation, Integration

8. Credit card loan [55 marks]
   Topics: Financial Maths

9. Tides in a harbour [40 marks]
   Topics: Trigonometry

Paper 2

Section A (Concepts and Skills)

1. Bernoulli trials
   Topics: Probability

2. Scatter plots
   Topics: Statistics

3. Centroids and orthocentres of triangles
   Topics: Co-ordinate geometry

4. Equation of a circle and angle between lines
   Topics: Co-ordinate geometry

5. Similar triangles
   Topics: Geometry

6. Cliffs of Moher
   Topics: Measurement, Trigonometry

Section B (Contexts and Applications)

7. Cones, cylinders and spheres [40 marks]
   Topics: Measurement

8. z scores, hypothesis testing and conditional probability [60 marks]
   Topics: Statistics, Probability

9. Conor's property [50 marks]
   Topics: Trigonometry